How to prove or disprove that $\sum\frac{1}{1+x^n}$ is uniformly convergent on $\mathbb R^+$

Question

$\sum\frac{1}{1+x^n}$ is uniformly convergent on $\mathbb R^+$ . Can anyone please give me a hint to solve this ?

Let alone uniform convergence on $\mathbb R^+$ . I can see that the series is not convergent itself when $x=1$.